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Perturbation Approach to the Self Energy of non-S Hydrogenic States

Eric-Olivier Le Bigot·Ulrich D. Jentschura·Peter J. Mohr·Paul Indelicato·Gerhard Soff
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Abstract

We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the perturbation expansion of the self energy of non-S states, and provide estimates of the so-called A60 perturbative coefficient, which can be considered as a relativistic Bethe logarithm. Precise values of A60 are given for many P, D, F and G states, while estimates are given for other electronic states. These results can be used in high-precision spectroscopy experiments in hydrogen and hydrogenlike ions. They yield the best available estimate of the self-energy correction of many atomic states.

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Eric-Olivier Le Bigot, Ulrich D. Jentschura, Peter J. Mohr, Paul Indelicato, Gerhard Soff. 2003-06-20. Perturbation Approach to the Self Energy of non-S Hydrogenic States. https://doi.org/10.1103/physreva.68.042101

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